I hear that adding a strut brace to the front upper mounts Really helps the F 30 feel more solid. I would imagine even more so with the 330e as it has the added weight from the edrive. system. I have read that The strut braces are different from the pre-LCI/ n20 engine model and the lci with b48 engine. Oddly Online it says that the strut brace compatible with LCI F30’s Is not compatible with 330e. Curious to hear your thoughts on this.
sounds like you have a coolant leak. get it pressure tested. the 330e is known for the hose connected to the large coolant tank to break on either end!